In the figure below, three point particles are fixed in place in an xy plane. Particle A has mass

mA$,$

particle B has mass

$2\mathrm{.}15$mA$,$

and particle C has mass

$3\mathrm{.}35$mA$.$

A fourth particle D$,$ with mass

$4\mathrm{.}20$mA$,$

is to be placed near the other three particles. In terms of distance d$,$ at what coordinates should particle D be placed so that the net gravitational force on particle A from particles B$,$ C$,$ and D is zero?